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Simplifying 24z + (-14z + -8) = -1(15z + 6) + 16 + 20 Reorder the terms: 24z + (-8 + -14z) = -1(15z + 6) + 16 + 20 Remove parenthesis around (-8 + -14z) 24z + -8 + -14z = -1(15z + 6) + 16 + 20 Reorder the terms: -8 + 24z + -14z = -1(15z + 6) + 16 + 20 Combine like terms: 24z + -14z = 10z -8 + 10z = -1(15z + 6) + 16 + 20 Reorder the terms: -8 + 10z = -1(6 + 15z) + 16 + 20 -8 + 10z = (6 * -1 + 15z * -1) + 16 + 20 -8 + 10z = (-6 + -15z) + 16 + 20 Reorder the terms: -8 + 10z = -6 + 16 + 20 + -15z Combine like terms: -6 + 16 = 10 -8 + 10z = 10 + 20 + -15z Combine like terms: 10 + 20 = 30 -8 + 10z = 30 + -15z Solving -8 + 10z = 30 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. -8 + 10z + 15z = 30 + -15z + 15z Combine like terms: 10z + 15z = 25z -8 + 25z = 30 + -15z + 15z Combine like terms: -15z + 15z = 0 -8 + 25z = 30 + 0 -8 + 25z = 30 Add '8' to each side of the equation. -8 + 8 + 25z = 30 + 8 Combine like terms: -8 + 8 = 0 0 + 25z = 30 + 8 25z = 30 + 8 Combine like terms: 30 + 8 = 38 25z = 38 Divide each side by '25'. z = 1.52 Simplifying z = 1.52
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